On five points in the boundary of a plane convex body pairwise in at least unit relative distances

DOI10.1007/BF01224041zbMath0831.52001MaRDI QIDQ1895164

Karol Doliwka

Publication date: 15 August 1995

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

convex setrelative distance

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items (7)

Covering the boundary of a convex body with its smaller homothetic copies ⋮ On relatively short and long sides of convex pentagons ⋮ On the relative distances of eleven points in the boundary of a plane convex body ⋮ On a conjecture about nine points in the boundary of a plane convex body at pairwise relative distances not greater than \({4 \sin \frac{\pi}{18}}\) ⋮ On the relative distances of nine points in the boundary of a plane convex body ⋮ On the relative distances of nine or ten points in the boundary of a plane convex body ⋮ The geometry of Minkowski spaces -- a survey. II.

Cites Work

• Covering a plane convex body with five smaller homothetical copies

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